Ex 3.3, 3 (i) - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

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Ex 3.3, 3 Form the pair of linear equations for the following problems and find their solution by substitution method. (i) The difference between two numbers is 26 and one number is three times the other. Find them. Let Larger Number be x & Smaller Number be y Given that Difference between two numbers = 26 x – y = 26 Also, one number is 3 times other x = 3y Now, our equations are x – y = 26 …(1) x = 3y …(2) Putting (2) in (1) x – y = 26 (3y) – y = 26 2y = 26 y = 26/2 y = 13 Putting y = 13 in (2) x = 3y x = 3 (13) x = 39 Hence , x = 39 and y = 13 is the solution So, Numbers are 39 and 13